λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,904,010
7,904,010
2 × 3 × 5 × 487 × 541
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 487 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,043,712
Proper Divisor Sum 11,139,702
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7904009 ← → #7904063

Radix Representation

Decimal 7904010
Binary 11110001001101100001010 (23 bits)
Octal 0o36115412
Hexadecimal 0x789B0A

Divisor Catalog (32)

1 2 3 5 6 10 15 30 487 541 974 1,082 1,461 1,623 2,435 2,705 2,922 3,246 4,870 5,410 7,305 8,115 14,610 16,230 263,467 526,934 790,401 1,317,335 1,580,802 2,634,670 3,952,005 7,904,010

Collatz Trajectory (292 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

7,904,010 3,952,005 11,856,016 5,928,008 2,964,004 1,482,002 741,001 2,223,004 1,111,502 555,751 1,667,254 833,627 2,500,882 1,250,441 3,751,324 1,875,662 937,831 2,813,494 1,406,747 4,220,242 2,110,121 6,330,364 3,165,182 1,582,591 4,747,774 2,373,887 7,121,662 3,560,831 10,682,494 5,341,247 16,023,742 8,011,871 24,035,614 12,017,807 36,053,422 18,026,711 54,080,134 27,040,067 81,120,202 40,560,101 121,680,304 60,840,152 30,420,076 15,210,038 7,605,019 22,815,058 11,407,529 34,222,588 17,111,294 8,555,647 25,666,942 12,833,471 38,500,414 19,250,207 57,750,622 28,875,311 86,625,934 43,312,967 129,938,902 64,969,451

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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